GRB 230113***A***: Swift-BAT refined analysis S. D. Barthelmy (GSFC), H. A. Krimm (NSF), S. Laha (GSFC/UMBC), A. Y. Lien (U Tampa), C. B. Markwardt (GSFC), D. M. Palmer (LANL), T. Parsotan (GSFC/UMBC), T. Sakamoto (AGU), M. Stamatikos (OSU) (i.e. the Swift-BAT team): Using the data set from T-239 to T+963 sec from the recent telemetry downlink, we report further analysis of BAT GRB 230113***A*** (trigger #1148770) (NAME, et al., GCN Circ. xxxx). The BAT ground-calculated position is RA, Dec = 299.515, 35.061 deg which is RA(J2000) = 19h 58m 03.6s Dec(J2000) = +35d 03' 38.8" with an uncertainty of 3.5 arcmin, (radius, sys+stat, 90% containment). The partial coding was 85%. [Description about the mask-weighted light curve] T90 (15-350 keV) is 234.30 +- 253.78 sec (estimated error including systematics). The time-averaged spectrum from TTBD to TTBD sec is best fit by a power law with an exponential cutoff. This fit gives a photon index 0.59 +- 1.26, and Epeak of 26.5 +- 8.2 keV (chi squared 41.05 for 56 d.o.f.). For this model the total fluence in the 15-150 keV band is 2.9 +- 0.4 x 10^-06 erg/cm2 and the 1-sec peak flux measured from T+117.60 sec in the 15-150 keV band is 0.8 +- 0.5 ph/cm2/sec. A fit to a simple power law gives a photon index of 2.43 +- 0.19 (chi squared 51.82 for 57 d.o.f.). All the quoted errors are at the 90% confidence level. The results of the batgrbproduct analysis are available at http://gcn.gsfc.nasa.gov/notices_s/1148770/BA/